Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 14 - Fluids - Problems - Page 409: 47b

Answer

$4.75\;m^3$

Work Step by Step

According to Archimedes’ principle the buoyant force is equal to the car’s weight $F_b=W$ or, $ρ_wgV_{sub}=mg$ or, $V_{sub}=\frac{m}{ρ_w}$ Substituting the given values, we obtain $V_{sub}=\frac{1800}{1000}\;m^3$ or, $V_{sub}=1.8\;m^3$ Therefore, the volume below the water surface with the car floating is $1.8\;m^3$ Total volume of the car is $(5+0.75+0.8)\;m^3=6.55\;m^3$ Therefore, the volume of the car which is about to disappear below the water surface is $(6.55-1.8)\;m^3=4.75\;m^3$
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